Consider the function f : [0,3] –→ R defined by f (x) = 1 for x E [0, 1), ƒ(x) = 2 for x E [1,2), and f(x) = 3 for x E [2, 3]. Explain using the analytic definition of integrability why f is integrable. %3D

Q: consider a function f, defined by f(x,y) = -y/√x2+y2   what is the behavior of f along the line…

A:

Q: Consider the function 2yx+3x T²+3y² 0 Determine whether this function is continuous at (0,0). F(x,…

A:

Q: Use the definition of differentiability to show that f(x, y) = y² – xy+5x is differentiable…

A:

Q: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let Y = min(X1, X2). Find fY (y).

A: We have given that X1,X2∼U(0,1)Objective :To find the  PDF of Y=min(X1,X2)

Q: d dx y' z' y" z"

A:

Q: Evaluate function given assuming ƒ is integrable on [a, b].

A: We have to calculate,∫abf(x)dx+∫baf(x)dx = ?            ...................(1)As function f(x) is…

Q: f(x,y) = x=y - 2xy? + 3xy +4 %3D

A: Given function is fX,Y=X2Y−2XY2+3XY+4 We have to find the global maximum and minimum of this…

Q: |. consider the function f defined by f(x) x€ (-1,1). 3 Vin Cl+z)-Sec (x) a) Find linearteation of f…

A: Definition: Let f(x) be differentiable function on the given domain. The linearization L(x) of f(x)…

Q: Show that a function f : R2-R defined by f(x,y)= x3- y3 / x2+ y2, if (x,y) is not equal to (0,0)…

A: What is Continuous Function: A function is referred to be continuous at a certain point in its…

Q: If a field K is algebraically closed, then every polynomiel with co efficients in k has a root in K.…

A: A field K is said to be algebraically closed if every polynomial with coefficients in K has a root…

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2³-4x³ - 3y³ - 2) 1…

A: